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Pith Number

pith:64XVM5XA

pith:2011:64XVM5XAE24CN7JPL3YG4YURLB
not attested not anchored not stored refs pending

Dynamical rotational frequency shift

Iwo Bialynicki-Birula, Zofia Bialynicka-Birula

arxiv:1110.2476 v1 · 2011-10-11 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{64XVM5XAE24CN7JPL3YG4YURLB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp
2 Internet Archive
3 Author claim open · sign in to claim
4 Citations open
5 Replications open
Portable graph bundle live · download bundle · merged state
The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.
Receipt and verification
First computed 2026-05-18T03:41:02.525909Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f72f5676e026b826fd2f5ef06e629158658ae7544e50a8307522bf567913783c

Aliases

arxiv: 1110.2476 · arxiv_version: 1110.2476v1 · doi: 10.48550/arxiv.1110.2476 · pith_short_12: 64XVM5XAE24C · pith_short_16: 64XVM5XAE24CN7JP · pith_short_8: 64XVM5XA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/64XVM5XAE24CN7JPL3YG4YURLB \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: f72f5676e026b826fd2f5ef06e629158658ae7544e50a8307522bf567913783c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "38077773203478c8a523cd45c90f91f8d173b8e03d5661f64985e60d72c9852d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-10-11T19:42:08Z",
    "title_canon_sha256": "94549f71c0ac5580559896d8d5b806631355f4377b86492dd636496e1f4530e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2476",
    "kind": "arxiv",
    "version": 1
  }
}